GCD of 92, 20, 12, 31 Calculator

Given Input numbers are 92, 20, 12, 31

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 92

List of positive integer divisors of 92 that divides 92 without a remainder.

1, 2, 4, 23, 46, 92

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Greatest Common Divisior

We found the divisors of 92, 20, 12, 31 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 92, 20, 12, 31 is 1.

Therefore, GCD of numbers 92, 20, 12, 31 is 1

Given Input Data is 92, 20, 12, 31

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 92 is 2 x 2 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 31 is 31

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(92, 20) = 460

GCD(92, 20) = ( 92 x 20 ) / 460

GCD(92, 20) = 1840 / 460

GCD(92, 20) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 12

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 12) = 12

GCD(4, 12) = ( 4 x 12 ) / 12

GCD(4, 12) = 48 / 12

GCD(4, 12) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 31

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(4, 31) = 124

GCD(4, 31) = ( 4 x 31 ) / 124

GCD(4, 31) = 124 / 124

GCD(4, 31) = 1

GCD of 92, 20, 12, 31 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 48, 67, 79, 11
• GCD of 41, 98, 67, 84
• GCD of 31, 86, 11, 44
• GCD of 20, 52, 66, 24
• GCD of 21, 77, 71, 90

1. What is the GCD of 92, 20, 12, 31?

GCD of 92, 20, 12, 31 is 1

2. Where do I get the detailed procedure to find GCD of 92, 20, 12, 31?

You can find a detailed procedure to find GCD of 92, 20, 12, 31 on our page.

3. How to find GCD of 92, 20, 12, 31 on a calculator?

You can find the GCD of 92, 20, 12, 31 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.